Elliptic curve search results

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
16.1-d1	16.1-d	$2$	$3$	4.4.17725.1	$4$	$[4, 0]$	16.1	\( 2^{4} \)	\( 2^{12} \)	$16.82467$	$(2)$	$1$	$\mathsf{trivial}$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$3$	3B	$1$	\( 3 \)	$0.024742063$	$1603.715366$	3.576443180	\( \frac{96291}{8} a^{3} + \frac{61965}{4} a^{2} - \frac{761489}{8} a - \frac{305099}{2} \)	\( \bigl[a^{3} - a^{2} - 6 a + 1\) , \( a^{3} - 2 a^{2} - 6 a + 6\) , \( a^{3} - 7 a - 7\) , \( -6 a^{2} + 3 a + 35\) , \( -2 a^{3} - 5 a^{2} + 21 a + 48\bigr] \)	${y}^2+\left(a^{3}-a^{2}-6a+1\right){x}{y}+\left(a^{3}-7a-7\right){y}={x}^{3}+\left(a^{3}-2a^{2}-6a+6\right){x}^{2}+\left(-6a^{2}+3a+35\right){x}-2a^{3}-5a^{2}+21a+48$

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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.